A qubit is in state |) = o|0) +₁|1) at time t = 0. It then evolves according to the Schrödingerequation with the Hamiltonian Ĥ defined by its action on the basis vectors: Ĥ0) = 0|0) andĤ|1) = E|1), where E is a constant with units of energy.a) Solve for the state of the qubit at time t.b) Find the probability to observe the qubit in state 0 at time t. Explain the result by referringto the way that the time-evolution transforms the Bloch sphere.

A translation operator is defined in quantum mechanics as an operator that shifts particles and…

A qubit is in state [y) : Vo|0) +11) at time t = 0. It then evolves according to the Schrodinger quation with the Hamiltonian Ĥ defined by its action on the basis vectors: Ĥ|0) = 0|0) and 7|1) = E|1), where E is a constant with units of energy. ) Solve for the state of the qubit at time t. >) Find the probability to observe the qubit in state 0 at time t. Explain the result by referring o the way that the time-evolution transforms the Bloch sphere.

A qubit is in state [y) : Vo|0) +11) at time t = 0. It then evolves according to the Schrodinger quation with the Hamiltonian Ĥ defined by its action on the basis vectors: Ĥ|0) = 0|0) and 7|1) = E|1), where E is a constant with units of energy. ) Solve for the state of the qubit at time t. >) Find the probability to observe the qubit in state 0 at time t. Explain the result by referring o the way that the time-evolution transforms the Bloch sphere.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A qubit is in state |v) = Vo|0) + ₁|1) at time t = 0. It then evolves according to the Schrödinger equation with the Hamiltonian Ĥ defined by its action on the basis vectors: Ĥ|0) = 0|0) and H|1) = E|1), where E is a constant with units of energy. a) Solve for the state of the qubit at time t.
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